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Omni Telecom is trying to decide whether to increase its cash dividend immediate

ID: 2807410 • Letter: O

Question

Omni Telecom is trying to decide whether to increase its cash dividend immediately or use the funds to increase its future growth rate.

D1

P0 = Price of the stock today
D1 = Dividend at the end of the first year
D1 = D0 × (1 + g)
D0 = Dividend today
Ke = Required rate of return
g = Constant growth rate in dividends

D0 is currently $2.00, Ke is 8 percent, and g is 4 percent.

Under Plan A, D0 would be immediately increased to $2.50 and Ke and g will remain unchanged.
Under Plan B, D0 will remain at $2.00 but g will go up to 5 percent and Ke will remain unchanged.

A. Compute P0 (price of the stock today) under Plan A. Note D1 will be equal to D0 × (1 + g) or $2.50 (1.04). Ke will equal 8 percent, and g will equal 4 percent. (Round your intermediate calculations and final answer to 2 decimal places.)
Stock price for Plan A:


B. Compute P0 (price of the stock today) under Plan B. Note D1 will be equal to D0 × (1 + g) or $2.00 (1.05). Ke will be equal to 8 percent, and g will be equal to 5 percent. (Round your intermediate calculations and final answer to 2 decimal places.)
Stock price for Plan B:


C. Which plan will produce the higher value - Plan A or Plan B?
  

P0 =

D1

Ke g

Explanation / Answer

Given price of stock = D1/ke - g

Calculation of Price of stock under plan A :

Price of stock = D1/ke - g =D0(1+g)/ke -g

= 2.5(1+0.04)/0.08-0.04

=2.5(1.04)/0.04 = $65

Calculation of price of stock under paln B

Price of stock = D1/ke - g =D0(1+g)/ke -g

= 2(1+0.05)/0.08-0.05

= 2(1.05)/0.03 = $70

Plan B will produce high value.

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